Details

Time bar (total: 1.5s)

analyze59.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
37.5%62.4%0.1%5
43.7%56.2%0.1%6
43.7%34.3%22%7
46.8%29.7%23.5%8
58.5%17.2%24.3%9
60.5%14.8%24.7%10
66.5%8.6%24.9%11
67.6%7.4%25%12
70.7%4.3%25%13
71.2%3.7%25%14

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0895
1895

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* y y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(- x (* y y))

simplify40.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04939113
14939113

prune19.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y y))
1.9b
(- (* x x) (pow y 4))
26.4b
(/ (- (* x x) (pow y 4)) (+ x (* y y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×times-frac
15×difference-of-squares
14×add-cube-cbrt *-un-lft-identity
7×add-log-exp
6×associate-/l*
5×add-exp-log unpow-prod-down add-cbrt-cube sqr-pow
3×pow1 associate-/r*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 69
Calls
3 calls:
3.0ms
(+ x (* y y))
5.0ms
(- (* x x) (pow y 4))
11.0ms
(/ (- (* x x) (pow y 4)) (+ x (* y y)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ x (* y y))
10.0ms
(- (* x x) (pow y 4))
17.0ms
(/ (- (* x x) (pow y 4)) (+ x (* y y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049341029
149341029

prune100.0ms

Filtered
59 candidates to 78 candidates (-32.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh000
Picked011
Done011
Total76480

Merged error: 0b

Counts
80 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (pow (sqrt y) 4)) (/ (+ x (* y y)) (- x (* y y))))
0.0b
(- x (* y y))
0.0b
(/ (+ x (* y y)) (- x (* y y)))
0.3b
(pow (sqrt y) 4)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
113×*-un-lft-identity
95×add-sqr-sqrt
75×add-cube-cbrt
22×associate-/r*
20×difference-of-squares
19×distribute-lft-out
13×associate-/r/
12×add-exp-log
11×add-cbrt-cube
7×flip3-- flip-- div-inv associate-/l*
6×pow1 unpow-prod-down add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow-unpow pow-pow sqrt-prod
2×frac-2neg flip3-+ clear-num flip-+
1×pow-to-exp sub-neg sqrt-pow1 pow1/2 diff-log pow-exp sqrt-pow2 sqr-pow
Counts
4 → 181
Calls
4 calls:
14.0ms
(/ (+ x (pow (sqrt y) 4)) (/ (+ x (* y y)) (- x (* y y))))
3.0ms
(- x (* y y))
6.0ms
(/ (+ x (* y y)) (- x (* y y)))
3.0ms
(pow (sqrt y) 4)

series47.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (+ x (pow (sqrt y) 4)) (/ (+ x (* y y)) (- x (* y y))))
7.0ms
(- x (* y y))
20.0ms
(/ (+ x (* y y)) (- x (* y y)))
7.0ms
(pow (sqrt y) 4)

simplify95.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049803423
149803423

prune170.0ms

Filtered
133 candidates to 193 candidates (-45.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1930193
Fresh011
Picked011
Done022
Total1934197

Merged error: 0b

Counts
197 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.9b
(- (* x x) (pow y 4))
1.9b
(- (* x x) (pow y 4))
18.8b
(sqrt (- (* x x) (pow y 4)))
18.8b
(sqrt (- (* x x) (pow y 4)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×sqrt-prod difference-of-squares
8×add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log unpow-prod-down flip3-- sqrt-div add-cbrt-cube flip-- sqr-pow
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 64
Calls
4 calls:
5.0ms
(- (* x x) (pow y 4))
5.0ms
(- (* x x) (pow y 4))
6.0ms
(sqrt (- (* x x) (pow y 4)))
7.0ms
(sqrt (- (* x x) (pow y 4)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* x x) (pow y 4))
11.0ms
(- (* x x) (pow y 4))
18.0ms
(sqrt (- (* x x) (pow y 4)))
21.0ms
(sqrt (- (* x x) (pow y 4)))

simplify47.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05036740

prune140.0ms

Filtered
60 candidates to 76 candidates (-26.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done033
Total76480

Merged error: 0b

Counts
80 → 4

regimes164.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0225
1225

end0.0ms

sample283.0ms

Algorithm
intervals
Results
151.0ms8000×body80valid
0.0ms4×body80invalid

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